Paper Citation Record · LEDGER

The Interplay between Additive and Multiplicative Central Sets Theorems

As of 8 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2506.00369.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2506.00369 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:25:54.936977Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

14 of 14 outbound references displayed

verified exact8
verified fuzzy5
unresolved1
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8e62fee2-95d5-44db-91b0-e401bc534116 · outbound

This paper cites Bergelson and N.

The Interplay between Additive and Multiplicative Central Sets Theorems Bergelson and N

Reference 1

Resolution: verified exact; doi, observed 2026-08-07T12:25:56.171412Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 01d7566c-d67c-4aef-90da-d58a30ed0978 · outbound

This paper cites Bergelson, J.

The Interplay between Additive and Multiplicative Central Sets Theorems Bergelson, J

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:25:56.930192Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5893526a-d80d-4e63-a8d5-46c6a9bd4a49 · outbound

This paper cites an unresolved cited work.

The Interplay between Additive and Multiplicative Central Sets Theorems Unresolved cited work

Reference 3

Resolution: verified exact; doi, observed 2026-08-07T12:25:56.013501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c3512df3-2e33-4b55-aded-ae96d9041898 · outbound

This paper cites an unresolved cited work.

The Interplay between Additive and Multiplicative Central Sets Theorems Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:25:56.870124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 120b2404-1d6c-4962-9486-feb7a4426c5b · outbound

This paper cites Furstenberg,Recurrence in Ergodic Theory and Combinatorial Number Theory, Princeton University Press, 1981.

The Interplay between Additive and Multiplicative Central Sets Theorems Furstenberg,Recurrence in Ergodic Theory and Combinatorial Number Theory, Princeton University Press, 1981

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:25:56.779487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8fb9dcdc-531e-4e0b-809d-46119a88c3ae · outbound

This paper cites Hindman, A history of central sets, Ergodic Theory Dynam.

The Interplay between Additive and Multiplicative Central Sets Theorems Hindman, A history of central sets, Ergodic Theory Dynam

Reference 6

Resolution: verified exact; doi, observed 2026-08-07T12:25:55.852599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 52702630-95de-41e9-8a41-c9b3bb7aa5ab · outbound

This paper cites Hindman and R.

The Interplay between Additive and Multiplicative Central Sets Theorems Hindman and R

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:25:56.688481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 66aab63b-e39f-4fcc-8097-d334a0beb652 · outbound

This paper cites Hindman and R.

The Interplay between Additive and Multiplicative Central Sets Theorems Hindman and R

Reference 8

Resolution: verified exact; doi, observed 2026-08-07T12:25:55.714727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 66975d6f-20d4-4bca-9603-664427d827ee · outbound

This paper cites Hindman and D.

The Interplay between Additive and Multiplicative Central Sets Theorems Hindman and D

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:25:56.615013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 78f17227-8f5e-46b2-b2aa-f865d5bfbf72 · outbound

This paper cites Hindman and D.

The Interplay between Additive and Multiplicative Central Sets Theorems Hindman and D

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:25:56.533220Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 60bb7d72-1ea7-4947-8c1c-c7fb2e8adb3e · outbound

This paper cites an unresolved cited work.

The Interplay between Additive and Multiplicative Central Sets Theorems Unresolved cited work

Reference 11

Resolution: verified exact; doi, observed 2026-08-07T12:25:55.571870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e319d8de-ad60-495a-9e0a-4c1adf48de7d · outbound

This paper cites A dynamical characterization of C sets.

The Interplay between Additive and Multiplicative Central Sets Theorems A dynamical characterization of C sets

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:25:56.368662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0a0e792b-edce-4b69-bdc5-eb31d6e1a207 · outbound

This paper cites Li, Dynamical characterization of C-sets and its application, Fund.

The Interplay between Additive and Multiplicative Central Sets Theorems Li, Dynamical characterization of C-sets and its application, Fund

Reference 13

Resolution: verified exact; doi, observed 2026-08-07T12:25:55.381172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6c7bb02d-ed6d-4838-9c45-33845555e146 · outbound

This paper cites Shi and H.

The Interplay between Additive and Multiplicative Central Sets Theorems Shi and H

Reference 14

Resolution: verified exact; doi, observed 2026-08-07T12:25:55.191539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

No inbound Pith citation observations are available.